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Maximum Entropy Prior Laws of Images and Estimation of their Parameters

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Maximum Entropy and Bayesian Methods

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 43))

Abstract

When using a Bayesian approach to solve various inverse problems of image restoration, one of the main difficulties is to deduce an a priori probability law for the image from the global knowledge. In this communication we discuss the possible forms of the prior law when the available information on the image is in the form of some global constraints on it. Then we propose a method for estimating the parameters of the inferred prior laws.

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References

  • Justice, J.H.: 1986, Maximum-Entropy and Bayesian Methods in Applied Statistics, Cambridge University Press, Cambridge.

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  • Skilling, J.: 1989, Maximum-Entropy and Bayesian Methods, J. Skilling (ed.), Kluwer Academic Publisher, Dordrecht.

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  • Mohammad-Djafari, A. and G. Demoment,: 1988, ‘Utilisation de l’entropie dans les problémes de restauration et de reconstruction d’images’, Traitement du Signal 5(4), 235–248.

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  • Mohammad-Djafari, A.: 1989, ‘Bayesian Tomographic Image Processing with Maximum Entropy Priors’, invited conference in: Statistics Earth and Space Sciences, Leuven, Belgium, August 22–26.

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  • Merle, Ph., Ch. Marneffe, A. Mohammad-Djafari, and G. Demoment,: 1989, ‘Recherche d’une loi a priori en restauration d’images’, Int. Rep. No. LSS/89/023.

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Author information

Authors and Affiliations

  1. Laboratoire des Signaux et Systémes (CNRS-ESE-UPS), Plateau de Moulon, 91192, Gif-sur-Yvette Cédex, France

    Ali Mohammad-Djafari & Jérôme Idier

Authors
  1. Ali Mohammad-Djafari
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  2. Jérôme Idier
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Editor information

Editors and Affiliations

  1. Department of Physics and Astronomy, University of Wyoming, Laramie, USA

    W. T. Grandy Jr.  & L. H. Schick  & 

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© 1991 Springer Science+Business Media Dordrecht

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Mohammad-Djafari, A., Idier, J. (1991). Maximum Entropy Prior Laws of Images and Estimation of their Parameters. In: Grandy, W.T., Schick, L.H. (eds) Maximum Entropy and Bayesian Methods. Fundamental Theories of Physics, vol 43. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3460-6_27

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  • DOI: https://doi.org/10.1007/978-94-011-3460-6_27

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5531-4

  • Online ISBN: 978-94-011-3460-6

  • eBook Packages: Springer Book Archive

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